A Beale-Kato-Madja criterion for magneto-micropolar fluid equations with partial viscosity.
A covariant and extended model for relativistic magnetofluiddynamics
A free boundary problem arising in magnetohydrodynamic system
A free boundary stationary magnetohydrodynamic problem in connection with the electromagnetic casting process
We investigate the behaviour of the meniscus of a drop of liquid aluminium in the neighbourhood of a state of equilibrium under the influence of weak electromagnetic forces. The mathematical model comprises both Maxwell and Navier-Stokes equations in 2D. The meniscus is governed by the Young-Laplace equation, the data being the jump of the normal stress. To show the existence and uniqueness of the solution we use the classical implicit function theorem. Moreover, the differentiability of the operator...
A gradient weighted moving finite-element method with polynomial approximation of any degree.
A new approach for the solution of three-dimensional magnetohydrodynamic rotating flow over a shrinking sheet.
A plane problem of incompressible magnetohydro-dynamics with viscosity and resistivity depending on the temperature
The plane flow of a fluid obeying the equations of magnetohydrodynamics is studied under the assumption that both the viscosity and the resistivity depend on the temperature. Some results of existence, non-existence, and uniqueness of solution are proved.
A regularity criterion for the 2D MHD and viscoelastic fluid equations
This paper is dedicated to a regularity criterion for the 2D MHD equations and viscoelastic equations. We prove that if the magnetic field B, respectively the local deformation gradient F, satisfies for 1/p + 1/q = 1 and 2 < p ≤ ∞, then the corresponding local solution can be extended beyond time T.
A singular radially symmetric problem in electrolytes theory
Existence of radially symmetric solutions (both stationary and time dependent) for a parabolic-elliptic system describing the evolution of the spatial density of ions in an electrolyte is studied.
A two-level discretization method for the stationary MHD equations.
A WKB analysis of the Alfvén spectrum of the linearized magnetohydrodynamics equations
Small perturbations of an equilibrium plasma satisfy the linearized magnetohydrodynamics equations. These form a mixed elliptic-hyperbolic system that in a straight-field geometry and for a fixed time frequency may be reduced to a single scalar equation div, where may have singularities in the domaind of definition. We study the case when is a half-plane and possesses high Fourier components, analyzing the changes brought about by the singularity . We show that absorptions of energy takes...
A zoology of boundary layers.
In meteorology and magnetohydrodynamics many different boundary layers appear. Some of them are already mathematically well known, like Ekman or Hartmann layers. Others remain unstudied, and can be much more complex. The aim of this paper is to give a simple and unified presentation of the main boundary layers, and to propose a simple method to derive their sizes and equations.
About an initial-boundary value problem from magneto-hydronamics.
Almost global solutions of the free boundary problem for the equations of a magnetohydrodynamic incompressible fluid
Almost global in time existence of solutions for equations describing the motion of a magnetohydrodynamic incompressible fluid in a domain bounded by a free surfaced is proved. In the exterior domain we have an electromagnetic field which is generated by some currents which are located on a fixed boundary. We prove that a solution exists for t ∈ (0,T), where T > 0 is large if the data are small.
An action principle in general relativistic magnetohydrodynamics
An Elliptic Boundary Value problem occurring in Magnetohydrodynamcis.
An existence result for partially regular weak solutions of certain abstract evolution equations, with an application to magneto-hydrodynamics.
An initial boundary value problem for Maxwell's equations in a parabolic limit case.
Approximation of a Nondifferentiable Nonlinear Problem Related to MHD Equilibria.
Approximation of the Spectrum of a Non-Compact Operator Given by the Magnetohydrodynamic Stability of a Plasma.